Calculus 10th Edition

Published by Brooks Cole
ISBN 10: 1-28505-709-0
ISBN 13: 978-1-28505-709-5

Chapter 1 - Limits and Their Properties - Section Project - Graphs and Limits of Trigonometric Functions - Page 90: a

Answer

Please see below.

Work Step by Step

As $x$ approaches $0$ from both left and right, we can see that the function $f(x)=\frac{\sin x}{x}$ approaches $1$. Thus, we can conclude that$$\lim_{x \to 0} \frac{\sin x}{x}=1.$$
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